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Finding the Third Proportional to 330,677.63 and 494,730.88

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Solution

The third proportional to 330,677.63 and 494,730.88 is: 740,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,677.63 : 494,730.88 = 494,730.88 : x
  2. Step 2: Convert to fraction form
    330,677.63/494,730.88 = 494,730.88/x
  3. Step 3: Cross multiply
    330,677.63x = 494,730.88 × 494,730.88
  4. Step 4: Simplify right side
    330,677.63x = 244,758,638,678.27
  5. Step 5: Solve for x
    x = 244,758,638,678.27/330,677.63
  6. Step 6: Final answer
    x = 740,172.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.